Atkin-Lehner |
2- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66424h |
Isogeny class |
Conductor |
66424 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
118080 |
Modular degree for the optimal curve |
Δ |
328944799952 = 24 · 197 · 23 |
Discriminant |
Eigenvalues |
2- 0 -2 0 -4 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-52706,4657261] |
[a1,a2,a3,a4,a6] |
Generators |
[1654:66651:1] |
Generators of the group modulo torsion |
j |
21511084032/437 |
j-invariant |
L |
3.1244629326576 |
L(r)(E,1)/r! |
Ω |
0.88821889215071 |
Real period |
R |
7.035344462769 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001114 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3496d1 |
Quadratic twists by: -19 |